What is the Greatest Common Factor of 74124 and 74139?

Greatest common factor (GCF) of 74124 and 74139 is 3.

GCF(74124,74139) = 3

We will now calculate the prime factors of 74124 and 74139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74124 and 74139.

How to find the GCF of 74124 and 74139?

We will first find the prime factorization of 74124 and 74139. After we will calculate the factors of 74124 and 74139 and find the biggest common factor number .

Step-1: Prime Factorization of 74124

Prime factors of 74124 are 2, 3, 29, 71. Prime factorization of 74124 in exponential form is:

74124 = 2² × 3² × 29¹ × 71¹

Step-2: Prime Factorization of 74139

Prime factors of 74139 are 3, 13, 1901. Prime factorization of 74139 in exponential form is:

74139 = 3¹ × 13¹ × 1901¹

Step-3: Factors of 74124

List of positive integer factors of 74124 that divides 74124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 71, 87, 116, 142, 174, 213, 261, 284, 348, 426, 522, 639, 852, 1044, 1278, 2059, 2556, 4118, 6177, 8236, 12354, 18531, 24708, 37062

Step-4: Factors of 74139

List of positive integer factors of 74139 that divides 74124 without a remainder.

1, 3, 13, 39, 1901, 5703, 24713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74124 and 74139. The biggest common factor number is the GCF number.
So the greatest common factor 74124 and 74139 is 3.

Also check out the Least Common Multiple of 74124 and 74139